# Physics

posted by
**Eduardo** on
.

At the other end of what would come to be known as the Roman Empire, Parthian (Persian)

archers were able to discourage pursuers by firing backwards from the back of a galloping

horse-the famous "Parthian shot."

a. If the speed of the arrow vB the bowstring is vB, that of the horse is vH, the magnitude

of gravitational acceleration is g, and the angle above the horizontal at which the archer

aims is Delta B, what is the range of the shot, measured on the ground from the point of

the shot to the point the arrow falls? Disregard aerodynamic effects and the height

of the horse and rider. Assume the arrow leaves the bow at the angle Delta B at which it is

pointed, as seen by the archer.

b) For vB = 50:0 m/s, vH = 18:0 m/s, and g = 9:81 m/s^2, at what angle Delta B should the

archer aim to maximize the range of part a?

c) For the parameter values of part b, what is the maximum range of the shot, as described

in part a?

d. What is the maximum ground-to-ground range the archer could attain with the same

bow, standing on the ground? That is, how much range does the archer give up for

the Parthian shot? Again, ignore aerodynamic effects and the height of the archer.